Is there a way to duplicate a particle system onto a seperate mesh without using python?
Assuming the meshes are stacked in the same space:
First, copy the particle-related vertex groups to the other mesh.
Then, disconnect the particle system.
Select the new mesh, then select the one with groom.
Use copy to selected.
Reconnect the hair on the new mesh.
Should be all good. You may have to re-assign the vertex groups in the particle settings.
Best of luck :)